Theorems · Theorem · measure theory
MeasurableSet.measurableAtom_of_countable
∀ {β : Type u_2} [inst : MeasurableSpace β] [Countable β] (x : β), MeasurableSet (measurableAtom x)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpaceCountable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetstatement and proof · cited by 3,075
- Compl.complproof · cited by 2,925
- Set.iUnionproof · cited by 2,483
- Set.iInterproof · cited by 1,084
- Countablestatement and proof · cited by 633
- Set.Subset.antisymmproof · cited by 213
- Set.iInter_congr_Propproof · cited by 170
- Function.sometimesproof · cited by 86
- Function.sometimes_specproof · cited by 84
- Set.compl_subset_complproof · cited by 50
Cited by3
Results whose statement or proof uses this declaration.
- measurable_from_prod_countable_left'proof · cited by 2
- MeasureTheory.ext_of_measurableAtomsproof · cited by 1
- MeasureTheory.Measure.exists_sum_smul_diracproof · cited by 0